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Finding the Fourth Proportional to 3,536.40, 4,878.16 and 2,416.80

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Solution

The fourth proportional to 3,536.40, 4,878.16 and 2,416.80 is: 3,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.40 : 4,878.16 = 2,416.80 : x
  2. Step 2: Convert to fraction form
    3,536.40/4,878.16 = 2,416.80/x
  3. Step 3: Cross multiply
    3,536.40x = 4,878.16 × 2,416.80
  4. Step 4: Simplify right side
    3,536.40x = 11,789,537.09
  5. Step 5: Solve for x
    x = 11,789,537.09/3,536.40
  6. Step 6: Final answer
    x = 3,333.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.